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Makale Tam Makale Uluslararası 2010

K-NACCI SEQUENCES IN MILLER'S GENERALIZATION OF POLYHEDRAL GROUPS

O. Deveci, Erdal Karaduman

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE Cilt 34 · Sayı A4 · ss. 275–283 · 01.09.2010

Özet

A k-nacci sequence in a finite group is a sequence of group elements x(0), x(1), x(2), ... x(n), ... for which, given an initial (seed) set x(0), x(1), x(2), ... , x(j-1), each element is defined by x(n) = {x(0)x(1) ... x(n-1) for j <= n < k. x(n-k) x(n-k+1) ... x(n-)1 for n >= k. In this paper, we examine the periods of the k-nacci sequences in Miller's generalization of the polyhedral groups < 2,2 vertical bar 2;q > < n,2 vertical bar 2;q > < 2,n vertical bar 2;q > < 2,2 vertical bar n;q > for any n > 2.

Anahtar kelimeler

period FINITE-GROUPS FIBONACCI SEQUENCES NILPOTENT GROUPS K-nacci sequence dihedral group polyhedral group

Atıf için künye

Deveci, O., & Karaduman, E. (2010). K-NACCI SEQUENCES IN MILLER'S GENERALIZATION OF POLYHEDRAL GROUPS. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 34(A4), 275–283.

BibTeX
@article{deveci2010-73591,
  author = {Deveci, O. and Karaduman, Erdal},
  title = {K-NACCI SEQUENCES IN MILLER'S GENERALIZATION OF POLYHEDRAL GROUPS},
  journal = {IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE},
  year = {2010},
  volume = {34},
  number = {A4},
  pages = {275--283},
  issn = {1028-6276},
  url = {https://akademik.atauni.edu.tr/yayinlar/73591-k-nacci-sequences-in-millers-generalization-of-polyhedral-groups}
}